Abstract
The work is devoted to cellular-automaton modeling based on a class of cellular automata with Margolus neighborhood. Modeling of the gas sorption process by coal particle was carried out. To organize this kind of evolutionary process, the method of cellular automata modeling was supplemented by the Monte Carlo method to implement the boundary conditions at the solid – gas interface.
Highlights
IntroductionIt is necessary to take into account their internal properties
When studying dispersed systems, it is necessary to take into account their internal properties
The problem is the use of mathematical models based on differential equations in partial derivatives to represent the material morphology at the microlevel and simulate the gas passage through the pores and thickness of the material [1], since the description by continuous functions of the pore boundaries is difficult, for example, when solving a parabolic equation describing diffusion in the area with a complex boundary
Summary
It is necessary to take into account their internal properties. The main internal properties are: medium morphology, nature of gas interaction with the pore walls and the medium, which can be porous materials. Their consideration of as continuous media characterized by a certain coefficient of porosity does not satisfy the real picture of the materials under study, including gas-coal solution. The objective of the research is the formation and application of cellular automata for modeling the movement of gas in materials with a complex boundary (porous medium). This article proposes a cellular automaton, the configuration of which imitates two types of movements of abstract particles in a porous medium: diffusion (spreading) and interaction with walls (equilibrium sorption)
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